Question

the graph of a function f is given. use the graph to find each of the following.
a. the numbers, if any, at which f has a relative maximum. what are these relative maxima?
b. the numbers, if any, at which f has a relative minimum. what are these relative minima?
a. find the numbers, if any, at which f has a relative maximum, and find the relative maxima(maximum). select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
a. the function f has (a) relative maxima(maximum) at and the relative maxima(maximum) are(is) (use a comma to separate answers as needed.)
b. the function f has no relative maxima.

Explanation:

Step1: Recall the definition of relative maximum

A relative maximum of a function occurs at a point where the function changes from increasing to decreasing.

Step2: Examine the graph

Look for the peaks on the graph of the function $f$.

Step3: Identify the x - values and y - values

From the graph, we can see that the function has relative maxima at $x = 2$ and $x = 4$. The corresponding $y$-values (the relative maxima) are $y = 5$ for both points.

Answer:

A. The function f has (a) relative maxima(maximum) at $2,4$ and the relative maxima(maximum) are(is) $5,5$